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Finding the Fourth Proportional to 278,517.81, 384,355.73 and 157,682.41

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Solution

The fourth proportional to 278,517.81, 384,355.73 and 157,682.41 is: 217,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,517.81 : 384,355.73 = 157,682.41 : x
  2. Step 2: Convert to fraction form
    278,517.81/384,355.73 = 157,682.41/x
  3. Step 3: Cross multiply
    278,517.81x = 384,355.73 × 157,682.41
  4. Step 4: Simplify right side
    278,517.81x = 60,606,137,803.71
  5. Step 5: Solve for x
    x = 60,606,137,803.71/278,517.81
  6. Step 6: Final answer
    x = 217,602.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.